Using Reproducing Kernel for Solving the Lane-Emden Equations, Arising in Astrophysics
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJMAC-10-3_002
تاریخ نمایه سازی: 27 دی 1401
Abstract:
In this paper, we utilize an algorithm for solving nonlinear ordinary differential equations of Lane-Emden type on a semi-infinite interval. The algorithm is based on an iterative technique and thereproducing kernel Hibert method. We give the convergence analysis for the proposed method. The validity and applicability of the proposed method are demonstrated by some numerical examples. The obtained results and comparison with other methods provide confirmation for the validity of our numerical method.
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Authors
Ebrahim Amini
Department of Mathematics, Payme Noor University, P. O. Box ۱۹۳۹۵-۴۶۹۷, Tehran, IRAN
Asghar Taheri
Department of Mathematics, Payme Noor University.
Majid Abedini
Department of Mathematics, Payme Noor University